NDLI: Digital filter realizations without overflow oscillations

Content Provider	IEEE Xplore Digital Library
Author	Mills, W. Mullis, C. Roberts, R.
Copyright Year	1978
Description	Author affiliation: University of Colorado, Boulder, CO (Mills, W.)
Abstract	Most of the literature dealing with overflow oscillations in fixed-point digital filters has considered the direct form realization exclusively. In direct forms the question of whether oscillations are possible depends on the location of the poles of the filter. We show that it is possible to eliminate overflow oscillations, regardless of pole locations, by considering more general realizations. A sufficient condition is given for a state variable realization (using two's complement arithmetic) of any order to be free of overflow oscillation. A simple characterization of this condition is given for second order filters. Among second order realizations which meet the condition are so-called normal realizations and structures which minimize roundoff noise.
Starting Page	71
Ending Page	74
File Size	73851
Page Count	4
File Format	PDF
DOI	10.1109/ICASSP.1978.1170524
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1978-04-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Digital filters Finite wordlength effects Testing Sufficient conditions Circuit noise Arithmetic Milling machines Registers Noise reduction Transfer functions
Content Type	Text
Resource Type	Article

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Digital filter realizations without overflow oscillations